LAUSR

Abstract This study investigates the heat and mass transfer of nanofluid with motile gyrotactic microorganisms. The study is explored under the response of non-linear thermal radiation, viscous dissipation and Joule heating effects. The slip and convective convective boundary conditions are also taken into account. The coupled partial differential equations are reduced to nonlinear ordinary differential equations using appropriate transformations. The differential equations are solved numerically by using Maple dsolve command with option numeric which utilize Runge–Kutta fourth-fifth order Fehlberg technique. A comparison to the previous study is also included to validate the present results. The evaluations are carried out for sundry parameters on flow, heat transfer and motile density of microorganisms. It is observed that the motile density of microorganisms shows a decreasing behavior for growing values of bioconvection lewis number and Peclet number.